Following are the 29 players on the opening-day roster of the 2019 Boston Red Sox Major League Baseball team, fielding positions, and salaries.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Following are the 29 players on the opening-day roster of the 2019 Boston Red Sox Major League Baseball team, fielding positions, and salaries.
 

Player Position Salary (US$)
David Price Starting Pitcher $ 31,000,000
J.D. Martinez Outfield $ 23,750,000
Rick Porcello Starting Pitcher $ 21,125,000
Mookie Betts Relief Pitcher $ 20,000,000
Nathan Eovaldi Starting Pitcher $ 17,000,000
Chris Sale Starting Pitcher $ 15,000,000
Dustin Pedroia Infield $ 14,521,686
xander Bogaerts Infield $ 12,000,000
Jackie Bradley Jr. Outfield $ 8,550,000
Mitch Moreland Infield $ 6,500,000
Steve Pearce Infield $ 6,250,000
Eduardo Nunez Infield $ 5,000,000
Eduardo Rodriguez Starting Pitcher $ 4,300,000
Brock Holt Infield $ 3,575,000
Christian Vazquez Catcher $2,933,333
Tyler Thornburg Relief Pitcher $ 1,750,000
Matt Barnes Relief Pitcher $ 1,600,000
Steven Wright Starting Pitcher $ 1,375,000
Heath Hembree Relief Pitcher $ 1,312,500
Brandon Workman Relief Pitcher $ 910,000
Blake Swihart Catcher $ 717,500
Andrew Benintendi Outfield $ 614,500
Rafael Devers Infield $ 577,500
Ryan Brasier Relief Pitcher $ 575,000
Brian Johnson Relief Pitcher $ 568,500
Hector Velazquez Relief Pitcher $ 564,000
Marco Hernandez Infield $ 558,500
Sam Travis Infield $ 557,000
Colten Brewer Relief Pitcher $ 548,000


Sort the players into two groups, all pitchers (relief and starting) and position players (all others). Assume equal population standard deviations for the pitchers and the position players. Test the hypothesis that mean salaries of pitchers and position players are equal using the 0.01 significance level.

Player

Position

Salary (US$)

C.C. Sabathia

Starting Pitcher

$25,000,000

 

Mark Teixeira

First Base

$23,125,000

Masahiro Tanaka

Starting Pitcher

$22,000,000

Jacoby Ellsbury

Center Field

$21,142,857

Alex Rodriguez

Designated Hitter

$21,000,000

Brian McCann

Catcher

$17,000,000

Carlos Beltran

Right Field

$15,000,000

Brett Gardner

Left Field

$13,500,000

Chase Headley

Third Base

$13,000,000

Andrew Miller

Relief Pitcher

$9,000,000

Starlin Castro

Second Base

$7,857,142

Nathan Eovaldi

Starting Pitcher

$5,600,000

Michael Pineda

Starting Pitcher

$4,300,000

Ivan Nova

Relief Pitcher

$4,100,000

Dustin Ackley

Left Field

$3,200,000

Didi Gregorius

Shortstop

$2,425,000

Aaron Hicks

Center Field

$574,000

Austin Romine

Catcher

$556,000

Chasen Shreve

Relief Pitcher

$533,400

Luis Severino

Starting Pitcher

$521,300

Kirby Yates

Relief Pitcher

$511,900

Ronald Torreyes

Second Base

$508,600

Johnny Barbato

Relief Pitcher

$507,500

Dellin Betances

Relief Pitcher

$507,500

Luis Cessa

Relief Pitcher

$507,500

 

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